Purchase Solution

Probability and Normal Distribution Indicator

Not what you're looking for?

Ask Custom Question

Find the indicated probability.
4) A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275.

5) In one region, the September energy consumption levels for single family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. If 50 different homes are randomly selected, find the probability that their mean energy consumption level for September is greater than 1075 kWh.

Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
6) Two percent of hair dryers produced in a certain plant are defective. Estimate the probability that of 10,000 randomly selected hair dryers, at least 219 are defective.

Purchase this Solution

Solution Summary

All the questions have step-by-step and neat solutions.

Solution Preview

(4) z = (x - M)/SD

z1 = (200 -200)/50 = 0 and z2 = (275 - 200)/50 = 1.5

Probability that the rating is between 200 and 275 = Area under the Standard Normal Curve between 0 and ...

Purchase this Solution


Free BrainMass Quizzes
Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.